Evaluate |i|

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Algebra

Evaluate |i|

$| i |$

Use the formula $| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

$\sqrt{0^{2} + 1^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + 1^{2}}$

One to any power is one.

$\sqrt{0 + 1}$

Add $0$ and $1$ .

$\sqrt{1}$

Any root of $1$ is $1$ .

$1$

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